34 



OTHER REPRESENTATIONS 



[Ch.5 



representation of a linear noisy network can be expressed as 



V — Tu = 8 



(5.2) 



where v is a column matrix consisting of the amplitudes of the terminal 

 "response," u is the corresponding column matrix of the terminal "excita- 

 tion," and 5 is a column matrix comprising the amplitudes of the internal 

 (noise) sources as seen at the terminals. The square matrix T expresses 

 the transformation of the network in the absence of internal sources. 



As an example of such a matrix representation of a 2w-terminal-pair 

 network, we consider the mixed voltage-current representation, for which 



h 



h 



(5.3) 



V2m—1 

 L-* 2ot— 1 . 



-h 



-h 



u = 



and 8 is the noise column vector 



8 = 



V2m 

 ~^2m 



EnZ 

 IfiZ 



En(2m—1) 

 _In(,2m—l) J 



(5.4) 



(5.5) 



The equivalent circuit suggested by the representation, Eq. 5.2, with the 

 interpretations, Eqs. 5.3, 5.4, and 5.5, is shown in Fig. 5.1. 



